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Finding the Fourth Proportional to 7,383.90, 11,071.76 and 5,046.54

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Solution

The fourth proportional to 7,383.90, 11,071.76 and 5,046.54 is: 7,567.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,383.90 : 11,071.76 = 5,046.54 : x
  2. Step 2: Convert to fraction form
    7,383.90/11,071.76 = 5,046.54/x
  3. Step 3: Cross multiply
    7,383.90x = 11,071.76 × 5,046.54
  4. Step 4: Simplify right side
    7,383.90x = 55,874,102.25
  5. Step 5: Solve for x
    x = 55,874,102.25/7,383.90
  6. Step 6: Final answer
    x = 7,567.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.